Complex surfaces | Algebraic surfaces
In mathematics, a fake projective plane (or Mumford surface) is one of the 50 complex algebraic surfaces that have the same Betti numbers as the projective plane, but are not isomorphic to it. Such objects are always algebraic surfaces of general type. (Wikipedia).
Arithmetic Fake Compact Hermitian Symmetric Spaces - Gopal Prasad
Gopal Prasad University of Michigan February 16, 2012 A fake projective plane is a smooth complex projective algebraic surface whose Betti numbers are same as those of the complex projective plane but which is not the complex projective plane. The first fake projective plane was constructe
From playlist Mathematics
Donald Cartwright : Construction of lattices defining fake projective planes - lecture 1
Recording during the meeting "Ball Quotient Surfaces and Lattices " the February 25, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Ma
From playlist Algebraic and Complex Geometry
Introduction to Projective Geometry (Part 1)
The first video in a series on projective geometry. We discuss the motivation for studying projective planes, and list the axioms of affine planes.
From playlist Introduction to Projective Geometry
The circle and projective homogeneous coordinates | Universal Hyperbolic Geometry 7a | NJ Wildberger
Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine
From playlist Universal Hyperbolic Geometry
Introduction to Projective Geometry (Part 2)
The second video in a series about projective geometry. We list the axioms for projective planes, give an examle of a projective plane with finitely many points, and define the real projective plane.
From playlist Introduction to Projective Geometry
The circle and projective homogeneous coordinates (cont.) | Universal Hyperbolic Geometry 7b
Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine
From playlist Universal Hyperbolic Geometry
Donald Cartwright: Construction of lattices defining fake projective planes - lecture 6
Recording during the meeting "Ball Quotient Surfaces and Lattices " the February 28, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Ma
From playlist Algebraic and Complex Geometry
Fake projective planes by JongHae Keum
PROGRAM ZARISKI-DENSE SUBGROUPS AND NUMBER-THEORETIC TECHNIQUES IN LIE GROUPS AND GEOMETRY (ONLINE) ORGANIZERS: Gopal Prasad, Andrei Rapinchuk, B. Sury and Aleksy Tralle DATE: 30 July 2020 VENUE: Online Unfortunately, the program was cancelled due to the COVID-19 situation but it will
From playlist Zariski-dense Subgroups and Number-theoretic Techniques in Lie Groups and Geometry (Online)
Crazy X-planes of United States 3D
The X-planes are a series of experimental United States aircraft and rockets, used to test and evaluate new technologies and aerodynamic concepts. Not all US experimental aircraft have been designated as X-planes; some received US Navy designations before 1962, while others have been know
From playlist Comparison
Illusion: The City That Never Was
World War 1: Paris is the target of nightly German bombings that become more and more deadly. In a time where radars don’t yet exist and pilots can be fooled by false illuminations, the French General Staff secretly builds a fake illuminated Paris to save people’s lives. After being put in
From playlist Complete List of Members-Only Videos
Imaginary Numbers Are Real [Part 12: Riemann's Solution]
Want to experiment with Riemann's idea yourself? You can download your very own copy of of the final w-planes to experiment with here: http://www.welchlabs.com/blog/2016/6/30/imaginary-numbers-are-real-part-12-riemanns-solution Supporting Code: https://github.com/stephencwelch/Imaginary-N
From playlist Imaginary Numbers are Real
Tim Steger: Construction of lattices defining fake projective planes - lecture 8
Recording during the meeting "Ball Quotient Surfaces and Lattices " the March 01, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathe
From playlist Algebraic and Complex Geometry
Speaker: Régine Débatty In 1996, The Surveillance Camera Players started manifesting their opposition to the culture of surveillance by performing silent, specially adapted plays directly in front of CCTV cameras. 10 years after, their work is more relevant than ever. This talk will
From playlist 23C3: Who can you trust
Q-Homology Projective Planes by Jong-Hae Keum
Algebraic Surfaces and Related Topics PROGRAM URL : http://www.icts.res.in/program/AS2015 DESCRIPTION : This is a joint program of ICTS with TIFR, Mumbai and KIAS, Seoul. The theory of surfaces has been the cradle to many powerful ideas in Algebraic Geometry. The problems in this area
From playlist Algebraic Surfaces and Related Topics
Frédéric Mangolte: Algebraic models of the line in the real affine plane
Abstract: We study the following real version of the famous Abhyankar-Moh Theorem: Which real rational map from the affine line to the affine plane, whose real part is a non-singular real closed embedding of ℝ into ℝ^2, is equivalent, up to a birational diffeomorphism of the plane, to the
From playlist Algebraic and Complex Geometry
algebraic geometry 15 Projective space
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It introduces projective space and describes the synthetic and analytic approaches to projective geometry
From playlist Algebraic geometry I: Varieties